No, you are adding apples and pears (as we would say). Heat transfer occurs in three ways; convection, conduction and radiation. What do you htink, how we on Earth get the heat from the Sun? There is no pipeline, nor air to transfer it to the Earth....
On each heat transfer from one hotter object to a colder one you get at least two mechanisms: first your object is heating up the air and the temperature of air rises (that happens with each radiator in a car, being it for the water, air-conditioning or intercooler.
Secondly, you have radiation directly between two bodies. Why car heats up if left in the sun and the black one gets hotter then the silver one and BOTH of their interiors are in region of 50-70C while the outside temperature is 25C? Where did that heat come from? Because of radiation heat transfer from the sun.
Finally, if you have an additional hater on the wall of your bathroom, that is radioation heater: if you stand in front of it youl sense warmth, if stand aside, nothing...